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Solutions of the reflection equation for face and vertex models associated with An(1), Bn(1), Cn(1), Dn(1) and An(2)

Murray T. Batchelor, V. Fridkin, Atsuo Kuniba +1 more

arXiv:hep-th/9601051Physics Letters BMay 1, 199652 citations

The vertex-face correspondence and correlation functions of the fusion eight-vertex model

Takeo Kojima, Hitoshi Konno, Robert Weston

arXiv:math/0504433Nuclear Physics BJun 15, 200528 citations

On the solution of some vertex models using factorizableS matrices

R. Shankar

Journal of Statistical PhysicsDec 1, 19826 citations

Bosonization of vertex operators for the -symmetric Belavin model

Heng Fan, Bo-Yu Hou, Kangjie Shi +1 more

Based on the bosonization of vertex operators for the face model by Asai, Jimbo, Miwa and Pugai, using vertex-face correspondence we obtain vertex operators for the -symmetric Belavin model, which are constructed by deformed boson oscillators.

arXiv:hep-th/9703126Journal of Physics A Mathematical and GeneralAug 21, 19975 citations

A vertex operator approach for correlation functions of Belavin's (ℤ/nℤ)-symmetric model

Yas-Hiro Quano

Belavin's (ℤ/ n ℤ)-symmetric model is considered on the basis of bosonization of vertex operators in the A (1) n −1 model and vertex–face transformation. The corner transfer matrix (CTM) Hamiltonian of the (ℤ/ n ℤ)-symmetric model and tail operators are expressed in terms of bosonized vertex operators in the A (1) n −1 model. Correlation functions of the (ℤ/ n ℤ)-symmetric model can be obtained by using these objects, in principle. In particular, we calculate spontaneous polarization, which reproduces the result we obtained in 1993.Belavin's (ℤ/ n ℤ)-symmetric model is considered on the basis of bosonization of vertex operators in the A (1) n −1 model and vertex–face transformation. The corner transfer matrix (CTM) Hamiltonian of the (ℤ/ n ℤ)-symmetric model and tail operators are expressed in terms of bosonized vertex operators in the A (1) n −1 model. Correlation functions of the (ℤ/ n ℤ)-symmetric model can be obtained by using these objects, in principle. In particular, we calculate spontaneous polarization, which reproduces the result we obtained in 1993.

arXiv:0810.4220Journal of Physics A Mathematical and TheoreticalApr 1, 20094 citations

Eigenvectors of the multi-component generalization of the six-vertex model

Cherie L. Schultz

Physica A Statistical Mechanics and its ApplicationsOct 1, 1983114 citations

Some remarks on the eigenvalue problem for n symmetric vertex and face models

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